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The Mapper algorithm is an essential tool for visualizing complex, high dimensional data in topology data analysis (TDA) and has been widely used in biomedical research. It outputs a combinatorial graph whose structure implies the shape of…

Machine Learning · Computer Science 2025-04-24 Yuyang Tao , Shufei Ge

In randomized trials, repeated measures of the outcome are routinely collected. The mixed model for repeated measures (MMRM) leverages the information from these repeated outcome measures, and is often used for the primary analysis to…

Methodology · Statistics 2023-07-20 Bingkai Wang , Yu Du

Data augmentation is an essential part of the training process applied to deep learning models. The motivation is that a robust training process for deep learning models depends on large annotated datasets, which are expensive to be…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Toan Tran , Trung Pham , Gustavo Carneiro , Lyle Palmer , Ian Reid

A Support Vector Method for multivariate performance measures was recently introduced by Joachims (2005). The underlying optimization problem is currently solved using cutting plane methods such as SVM-Perf and BMRM. One can show that these…

Machine Learning · Computer Science 2012-02-20 Xinhua Zhang , Ankan Saha , S. V. N. Vishwanatan

Linear and quadratic optimization are crucial in numerous real-world applications, ranging from training machine learning models to solving integer linear programs. Recently, learning-to-optimize methods (L2O) for linear (LPs) or quadratic…

Machine Learning · Computer Science 2025-10-27 Chendi Qian , Christopher Morris

Psychological research often focuses on examining group differences in a set of numeric variables for which normality is doubtful. Longitudinal studies enable the investigation of developmental trends. For instance, a recent study…

Applications · Statistics 2023-10-05 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

Machine learning models are prone to capturing the spurious correlations between non-causal attributes and classes, with counterfactual data augmentation being a promising direction for breaking these spurious associations. However,…

Machine Learning · Computer Science 2025-07-11 Xiaoling Zhou , Ou Wu , Michael K. Ng

A tenet of reinforcement learning is that the agent always observes rewards. However, this is not true in many realistic settings, e.g., a human observer may not always be available to provide rewards, sensors may be limited or…

Machine Learning · Computer Science 2026-03-24 Alireza Kazemipour , Simone Parisi , Matthew E. Taylor , Michael Bowling

Online mirror descent (OMD) and dual averaging (DA) -- two fundamental algorithms for online convex optimization -- are known to have very similar (and sometimes identical) performance guarantees when used with a fixed learning rate. Under…

Machine Learning · Computer Science 2021-09-07 Huang Fang , Nicholas J. A. Harvey , Victor S. Portella , Michael P. Friedlander

In this paper, we consider the monotone generalized variational inequality (MGVI) where the monotone operator is Lipschitz continuous. Inspired by the extragradient method and the projection contraction algorithms for monotone variational…

Optimization and Control · Mathematics 2020-09-09 Yu You

For multi-source data, blocks of variable information from certain sources are likely missing. Existing methods for handling missing data do not take structures of block-wise missing data into consideration. In this paper, we propose a…

Methodology · Statistics 2020-04-07 Fei Xue , Annie Qu

Data augmentation (DA) is widely employed to improve the generalization performance of deep models. However, most existing DA methods employ augmentation operations with fixed or random magnitudes throughout the training process. While this…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Suorong Yang , Peijia Li , Xin Xiong , Furao Shen , Jian Zhao

We extend the data augmentation technique PANDA by Li et al. (2018) that regularizes single graph estimation to jointly learning multiple graphical models with various node types in a unified framework. We design two types of noise to…

Methodology · Statistics 2019-05-23 Yinan Li , Xiao Liu , Fang Liu

Deep neural networks (DNNs) often rely on massive labelled data for training, which is inaccessible in many applications. Data augmentation (DA) tackles data scarcity by creating new labelled data from available ones. Different DA methods…

Neural and Evolutionary Computing · Computer Science 2022-05-31 Binyan Hu , Yu Sun , A. K. Qin

Training in unsupervised time series anomaly detection is constantly plagued by the discrimination between harmful `anomaly contaminations' and beneficial `hard normal samples'. These two samples exhibit analogous loss behavior that…

Machine Learning · Computer Science 2026-03-17 Ruyi Zhang , Hongzuo Xu , Songlei Jian , Yusong Tan , Haifang Zhou , Rulin Xu

Many single-target regression problems require estimates of uncertainty along with the point predictions. Probabilistic regression algorithms are well-suited for these tasks. However, the options are much more limited when the prediction…

Machine Learning · Statistics 2021-06-08 Michael O'Malley , Adam M. Sykulski , Rick Lumpkin , Alejandro Schuler

Imbalanced datasets are commonly observed in various real-world applications, presenting significant challenges in training classifiers. When working with large datasets, the imbalanced issue can be further exacerbated, making it…

Machine Learning · Computer Science 2023-08-30 Kwei-Herng Lai , Daochen Zha , Huiyuan Chen , Mangesh Bendre , Yuzhong Chen , Mahashweta Das , Hao Yang , Xia Hu

Data augmentation plays a crucial role in enhancing the robustness and performance of machine learning models across various domains. In this study, we introduce a novel mixed-sample data augmentation method called RandoMix. RandoMix is…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Xiaoliang Liu , Furao Shen , Jian Zhao , Changhai Nie

With elementary means, we prove a stronger run time guarantee for the univariate marginal distribution algorithm (UMDA) optimizing the LeadingOnes benchmark function in the desirable regime with low genetic drift. If the population size is…

Neural and Evolutionary Computing · Computer Science 2020-04-13 Benjamin Doerr , Martin Krejca

In response to the challenges of data mining, discriminant analysis continues to evolve as a vital branch of statistics. Our recently introduced method of vertex discriminant analysis (VDA) is ideally suited to handle multiple categories…

Applications · Statistics 2011-01-06 Tong Tong Wu , Kenneth Lange